Ultrametricity property of energy landscapes of multidisperse packing problems

Johannes J. Schneider, André Müller, and Elmar Schömer
Phys. Rev. E 79, 031122 – Published 26 March 2009

Abstract

We consider the problem of finding the densest closed packing of hard disks with proposed different radii in a circular environment, such that the radius of the circumcircle is minimal. The subspace of the quasioptimum configurations of this problem exhibits the property of ultrametricity.

    • Received 27 December 2008

    DOI:https://doi.org/10.1103/PhysRevE.79.031122

    ©2009 American Physical Society

    Authors & Affiliations

    Johannes J. Schneider*, André Müller, and Elmar Schömer

    • Department of Physics, Mathematics, and Computer Science, Johannes Gutenberg University of Mainz, Staudinger Weg 7, 55099 Mainz, Germany

    • *schneidj@uni-mainz.de; URL: www.staff.uni-mainz.de/schneidj
    • andmuell@uni-mainz.de
    • schoemer@uni-mainz.de; URL: www.staff.uni-mainz.de/schoemer

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    Issue

    Vol. 79, Iss. 3 — March 2009

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